9,307,665

3² × 5 × 397 × 521

9,307,665 has the prime decomposition 3^2 × 5 × 397 × 521. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 397 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,204,968

Proper Divisor Sum 6,897,303

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9307633 ← → #9307667

Radix Representation

Decimal	9307665
Binary	100011100000011000010001 (24 bits)
Octal	0o43403021
Hexadecimal	0x8E0611

Divisor Catalog (24)

1 3 5 9 15 45 397 521 1,191 1,563 1,985 2,605 3,573 4,689 5,955 7,815 17,865 23,445 206,837 620,511 1,034,185 1,861,533 3,102,555 9,307,665

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,307,665 27,922,996 13,961,498 6,980,749 20,942,248 10,471,124 5,235,562 2,617,781 7,853,344 3,926,672 1,963,336 981,668 490,834 245,417 736,252 368,126 184,063 552,190 276,095 828,286 414,143 1,242,430 621,215 1,863,646 931,823 2,795,470 1,397,735 4,193,206 2,096,603 6,289,810 3,144,905 9,434,716 4,717,358 2,358,679 7,076,038 3,538,019 10,614,058 5,307,029 15,921,088 7,960,544 3,980,272 1,990,136 995,068 497,534 248,767 746,302 373,151 1,119,454 559,727 1,679,182 839,591 2,518,774 1,259,387 3,778,162 1,889,081 5,667,244 2,833,622 1,416,811 4,250,434 2,125,217

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